Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation (Q2221132)

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English	Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation	scientific article

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scholarly article

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title

Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation (English)

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Analysis and Mathematical Physics

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publication date

26 January 2021

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zbMATH Keywords

fifth-order nonlinear Schrödinger equation

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Riemann-Hilbert problem

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soliton solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s13324-020-00413-z

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cites work

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Inverse scattering transformation and soliton stability for a nonlinear Gross-Pitaevskii equation with external potentials

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A novel non-isospectral hierarchy and soliton wave dynamics for a parity-time-symmetric nonlocal vector nonlinear Gross-Pitaevskii equations

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A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential

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Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations

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Linear superposition principle applying to Hirota bilinear equations

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\(N\)-solitons, breathers, lumps and rogue wave solutions to a \((3+1)\)-dimensional nonlinear evolution equation

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Darboux transformation and multi-dark soliton for<i>N</i>-component nonlinear Schrödinger equations

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Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization

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The Degasperis-Procesi equation on the half-line

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Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrödinger equation

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A Riemann–Hilbert Approach to Complex Sharma–Tasso–Olver Equation on Half Line <sup>*</sup>

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Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects

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Riemann-Hilbert approach of the Newell-type long-wave-short-wave equation via the temporal-part spectral analysis

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Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line

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Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach

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Riemann-Hilbert problems of a six-component fourth-order AKNS system and its soliton solutions

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Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions

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An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients

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Q3094853

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Q3067266

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Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber

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Breathers and rogue waves of the fifth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain

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Nonlinear Waves in Integrable and Nonintegrable Systems

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Identifiers

zbMATH Open document ID

1458.35388

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Mathematics Subject Classification ID

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10.1007/S13324-020-00413-Z

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Mathematics(1 entry)

mardi Publication:2221132